Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
15904f |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-2035712 = -1 · 212 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593,5761] |
[a1,a2,a3,a4,a6] |
Generators |
[15:4:1] |
Generators of the group modulo torsion |
j |
-5639752000/497 |
j-invariant |
L |
3.8131086647548 |
L(r)(E,1)/r! |
Ω |
2.5009282347166 |
Real period |
R |
0.76233868125906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15904a1 31808z1 111328q1 |
Quadratic twists by: -4 8 -7 |